振荡微分方程的几何数值积分理论与算法

11571302
2015
A0504.微分方程数值解
房永磊
面上项目
教授
枣庄学院
48万元
振荡问题;内级误差传播;根树理论;B-级数理论;相误差
2016-01-01到2019-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Explicit pseudo two-step exponential Runge-Kutta methods for the numerical integration of first ordinary differential equations 期刊论文 Yonglei Fang;Xianfa Hu;Jiyong Li
2 Modified two-derivative Runge–Kutta methods for the Schrödinger equation 期刊论文 Yanping Yang;Yonglei Fang;Xiong You
3 Novel Exponentially Fitted Two-Derivative Runge-Kutta Methods with Equation-Dependent Coefficients for First-Order Differential Equations 期刊论文 Yanping Yang;Yonglei Fang
4 Obrechkoff two-step method fitted with Fourier spectrum for undamped Duffing equation 期刊论文 Shiwei Liu;Juan Zheng;Yonglei Fang
5 Exponentially ¯tted two-step hybrid methods for the resonant state of the Schro€dinger equation 期刊论文 Yonglei Fang;Yanping Yang;Xiong You
6 Runge–Kutta–Nyström methods with equation dependent coefficients and reduced phase lag for oscillatory problems 期刊论文 Yanping Yang;Xiong You;Yonglei Fang
7 A two derivative Runge-Kutta method with increased phase-lag order for the Schrodinger equation 期刊论文 Yanping Yang;Ping Wang;Yonglei Fang
8 Efficient implementation of RKN-type Fourier collocation methods for second-order differential equations 期刊论文 Bin Wang;Fanwei Meng;Yonglei Fang
9 A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems 期刊论文 Yonglei Fang;Yanping Yang;Xiong You;Bin Wang
10 A new embedded 4(3) pair of modified two-derivative Runge–Kutta methods with FSAL property for the numerical solution of the Schrödinger equation 期刊论文 Shiwei Liu;Juan Zheng;Yonglei Fang
11 Exponentially fitted symmetric and symplectic DIRK methods for oscillatory Hamiltonian systems 期刊论文 Julius Osato Ehigie;Dongxu Diao;Ruqiang Zhang;Yonglei Fang;Xiong You
12 An adapted explicit hybrid four-step method for the numerical solution of perturbed oscillators 期刊论文 Shiwei Liu;Juan Zheng;Yonglei Fang
13 THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation 期刊论文 Yanping Yang;Yonglei Fang;Kaimin Wang;Xiong You
14 Efficient Energy-preserving Methods for General Nonlinear Oscillatory Hamiltonian System 期刊论文 Yonglei Fang;Bin Wang;Changying Liu
15 Two-derivative Runge–Kutta methods with increased phase-lag and dissipation order for the Schrödinger equation 期刊论文 Yonglei Fang;Yanwei Zhang;Ping Wang
16 Symmetric collocation ERKN methods for general second-order oscillators 期刊论文 Xiong You;Ruqiang Zhang;Ting Huang;Yonglei Fang
17 Trigonometrically fitted two-step Obrechkoff linear methods for the Schrödinger equation 期刊论文 Ke Wu;Yonglei Fang;Dewen Liu
18 An explicit trigonometrically fitted Runge–Kutta method for stiff and oscillatory problems with two frequencies 期刊论文 Yonglei Fang;Yanping Yang;Xiong You
19 Exponentially fitted multi-derivative linear methods for the resonant state of the Schrödinger equation 期刊论文 Yanwei Zhang;Xiong You;Yonglei Fang
20 EXPONENTIAL FOURIER COLLOCATION METHODS FOR SOLVING FIRST-ORDER DIFFERENTIAL EQUATIONS 期刊论文 Bin Wang;Xinyuan Wu;Fanwei Meng;Yonglei Fang
21 Revised trigonometrically fitted two-step hybrid methods with equation dependent coefficients for highly oscillatory problems 期刊论文 Yonglei Fang;Yanping Yang;Xiong You
22 Trigonometrically-fitted multi-derivative linear methods for the resonant state of the Schrödinger equation 期刊论文 Yanweizhang;Yonglei Fang;Xiong You;Guangde Liu
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